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Consider the traffic flow diagram that follows, where a1, a2, a3, a4, b1, b2, b3, b4 are fixed posi- tive integers. Set up a linear system in the unknowns x1, x2, x3, x4 and show that the system will be consistent if and only if a1 + a2 + az + a4 = b1 + b2 + b3 + b4 What can you conclude about the number of automobiles entering and leaving the traffic network? TH TH b4 X1 A4 X4 A2 X3 b3 Az

Consider the traffic flow diagram that follows, where a1, a2, a3, a4, b1, b2, b3, b4 are fixed posi- tive integers. Set up a linear system in the unknowns x1, x2, x3, x4 and show that the system will be consistent if and only if a1 + a2 + az + a4 = b1 + b2 + b3 + b4 What can you conclude about the number of automobiles entering and leaving the traffic network? TH TH b4 X1 A4 X4 A2 X3 b3 Az

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the traffic flow diagram that follows, where a1, a2, a3, a4, b1, b2, b3, b4 are fixed posi- tive integers. Set up a linear system in the unknowns x1, x2, x3, x4 and show that the system will be consistent if and only if a1 + a2 + az + a4 = b1 + b2 + b3 + b4 What can you conclude about the number of automobiles entering and leaving the traffic network? TH TH b4 X1 X4 A2 X3 b3 Az
Transcribed Image Text:Consider the traffic flow diagram that follows, where a1, a2, a3, a4, b1, b2, b3, b4 are fixed posi- tive integers. Set up a linear system in the unknowns x1, x2, x3, x4 and show that the system will be consistent if and only if a1 + a2 + az + a4 = b1 + b2 + b3 + b4 What can you conclude about the number of automobiles entering and leaving the traffic network? TH TH b4 X1 X4 A2 X3 b3 Az
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